Question

Which expression is equal to (-7m^2 + 15m^3 - 12m^4) + (3m^5 - 12m^4 - 7m^3) over (m - 6)?

A. 3m^4 + m^3 + 2m^2
B. 3m^5 - 15m^4 + 8m^3 - 12m^2
C. 3m^4 - m^3 + 2m^2
D. 3m^4 - 19m^3 + 8m^2 - 12m

Answer 1

The expression (-7m^2 + 15m^3 - 12m^4) + (3m^5 - 12m^4 - 7m^3) over (m - 6) simplifies to Option B. 3m^5 - 15m^4 + 8m^3 - 12m^2

Step-by-step explanation:

The expression (-7m^2 + 15m^3 - 12m^4) + (3m^5 - 12m^4 - 7m^3) over (m - 6) can be simplified by combining like terms. The like terms are the ones with the same exponent on the variable m. We can rearrange the terms to group the like terms together: (-12m^4 - 12m^4) + (3m^5 - 7m^3 + 15m^3) over (m - 6).

Combining the like terms, we get (-24m^4 + 8m^3 + 3m^5) over (m - 6).

This expression cannot be simplified further, so the answer is Option B. 3m^5 - 15m^4 + 8m^3 - 12m^2